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Title: Pion mass dependence of the nucleon form factors of the energy-momentum tensor in the chiral quark-soliton model

Abstract

The nucleon form factors of the energy-momentum tensor are studied in the large-N{sub c} limit in the framework of the chiral quark-soliton model for model parameters that simulate physical situations in which pions are heavy. This allows for a direct comparison to lattice quantum chromodynamics results.

Authors:
; ; ;  [1]; ;  [2];  [3]
  1. Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)
  2. Centro de Fisica Computacional (CFC), Departamento de Fisica, Universidade de Coimbra, P-3004-516 Coimbra (Portugal)
  3. (Portugal)
Publication Date:
OSTI Identifier:
20995324
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.75.055207; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CHIRALITY; COMPARATIVE EVALUATIONS; ENERGY-MOMENTUM TENSOR; FORM FACTORS; MASS; NUCLEONS; PIONS; QUANTUM CHROMODYNAMICS; QUARKS; SOLITONS

Citation Formats

Goeke, K., Grabis, J., Ossmann, J., Schweitzer, P., Silva, A., Urbano, D., and Faculdade de Engenharia da Universidade do Porto, P-4200-465 Porto. Pion mass dependence of the nucleon form factors of the energy-momentum tensor in the chiral quark-soliton model. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.055207.
Goeke, K., Grabis, J., Ossmann, J., Schweitzer, P., Silva, A., Urbano, D., & Faculdade de Engenharia da Universidade do Porto, P-4200-465 Porto. Pion mass dependence of the nucleon form factors of the energy-momentum tensor in the chiral quark-soliton model. United States. doi:10.1103/PHYSREVC.75.055207.
Goeke, K., Grabis, J., Ossmann, J., Schweitzer, P., Silva, A., Urbano, D., and Faculdade de Engenharia da Universidade do Porto, P-4200-465 Porto. Tue . "Pion mass dependence of the nucleon form factors of the energy-momentum tensor in the chiral quark-soliton model". United States. doi:10.1103/PHYSREVC.75.055207.
@article{osti_20995324,
title = {Pion mass dependence of the nucleon form factors of the energy-momentum tensor in the chiral quark-soliton model},
author = {Goeke, K. and Grabis, J. and Ossmann, J. and Schweitzer, P. and Silva, A. and Urbano, D. and Faculdade de Engenharia da Universidade do Porto, P-4200-465 Porto},
abstractNote = {The nucleon form factors of the energy-momentum tensor are studied in the large-N{sub c} limit in the framework of the chiral quark-soliton model for model parameters that simulate physical situations in which pions are heavy. This allows for a direct comparison to lattice quantum chromodynamics results.},
doi = {10.1103/PHYSREVC.75.055207},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}
  • The nucleon form factors of the energy-momentum tensor are studied in the large-N{sub c} limit in the framework of the chiral quark-soliton model.
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  • We investigate the form factors of the chiral-odd nucleon matrix element of the tensor current. In particular, we aim at the anomalous tensor magnetic form factors of the nucleon within the framework of the SU(3) and SU(2) chiral quark-soliton model. We consider 1/N{sub c} rotational corrections and linear effects of SU(3) symmetry breaking with the symmetry-conserving quantization employed. We first obtain the results of the anomalous tensor magnetic moments for the up and down quarks: {kappa}{sub T}{sup u}=3.56 and {kappa}{sub T}{sup d}=1.83, respectively. The strange anomalous tensor magnetic moment is yielded to be {kappa}{sub T}{sup s}=0.2{approx}-0.2, that is compatible withmore » zero. We also calculate the corresponding form factors {kappa}{sub T}{sup q}(Q{sup 2}) up to a momentum transfer Q{sup 2{<=}}1 GeV{sup 2} at a renormalization scale of 0.36 GeV{sup 2}.« less
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  • We investigate the singlet {ital g}{sub {ital T}}{sup (0)} and isovector {ital g}{sub {ital T}}{sup (3)} tensor charges of the nucleon, which are deeply related to the first moment of the leading twist transversity quark distribution {ital h}{sub 1}({ital x}), in the SU(2) chiral quark-soliton model. With rotational {ital O}(1/{ital N}{sub {ital c}}) corrections taken into account, we obtain {ital g}{sub {ital T}}{sup (0)}=0.69 and {ital g}{sub {ital T}}{sup (3)}=1.45 at a low normalization point of several hundreds MeV. Within the same approximation and parameters the model yields {ital g}{sub {ital A}}{sup (0)}=0.36, {ital g}{sub {ital A}}{sup (3)}=1.21 for axialmore » charges and a correct octet-decuplet mass splitting. We show how the chiral quark-soliton model interpolates between the nonrelativistic quark model and the Skyrme model. {copyright} {ital 1996 The American Physical Society.}« less